Illustration of the criteria setting the additional boundaries on the grid (see Sect. 2.1) in the M_pl-T_eq plane for 5 R_⊕ (top) and 10 R_⊕ (bottom) planets. The dashed orange, blue, yellow, green, and violet lines marked as R_RB(M_*) show the upper T_eq(M_pl) boundaries set by criterion II (R_roche ≥ 1.2R_pl)forplanetsorbiting0.4, 0.6, 0.8, 1.0, and 1.3 M_⊙ stars, respectively. The solid line contours of the respective colours show the grid ranges in the T_eq–M_pl plane for each of the stellar masses, with all areas sharing the same lower boundary, controlled by criterion III (dashed black line for Λ = 80; dotted black line for Λ = 160). In the bottom panel, the region on the left of the shaded area (grid ranges) is excluded by the low-density criterion I (ρ ≥ 0.03 g cm⁻³; dash-dotted black line).